Yup - a part's a part! Doesn't matter what it's pulled from; a 1537264-00-B is a 1537264-00-B no matter what it was taken from.
Of course, this whole thread is dedicated to the adaptation to get the Gen4 ECU (that one) to work on the Gen3 cars (the old ones), so it is of course not a drop-in, but it is the part you need with a little Bundle of Wires thrown in (for pre-2020, Gen3 cars).
Been noticing a fair handful of 1537264-80-B's showing up on eBay lately... rather funny, that (gee, where did those come from?). But, interestingly, a number of -00-'s showing up as well, for those that can't get Tesla to sell them one.